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Finding the Third Proportional to 297,592.13 and 425,387.25

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Solution

The third proportional to 297,592.13 and 425,387.25 is: 608,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,592.13 : 425,387.25 = 425,387.25 : x
  2. Step 2: Convert to fraction form
    297,592.13/425,387.25 = 425,387.25/x
  3. Step 3: Cross multiply
    297,592.13x = 425,387.25 × 425,387.25
  4. Step 4: Simplify right side
    297,592.13x = 180,954,312,462.56
  5. Step 5: Solve for x
    x = 180,954,312,462.56/297,592.13
  6. Step 6: Final answer
    x = 608,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.